Formula Find Day on a Particular Date

Duration: 10 min

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Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
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  20. Full Length Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video presents a lecture on the Bramhasthra Formula, a method for determining the day of the week for any given date. The instructor, Yash Jain Sir, begins by posing a question about the Wednesdays in April 2018, which is a past exam question from TCS 2019. He then introduces the Bramhasthra Formula: [Year + Leap Year + Date + Month Code + Year Code] / 7. The video systematically breaks down the components of the formula. It shows a table for the Year Code, which assigns a value to each year based on a 400-year cycle (e.g., 1600-1699 has a code of 6). It also displays a table for the Month Code, where April is assigned a code of 6. The Day Code table is shown, with Wednesday corresponding to the number 4. The instructor demonstrates the calculation for April 1, 2018, by plugging in the values: 18 (year) + 4 (leap year adjustment) + 1 (date) + 6 (month code) + 6 (year code), which sums to 35. Dividing 35 by 7 gives a remainder of 0, which corresponds to Sunday. The instructor then corrects this, explaining that a remainder of 0 or 7 signifies Sunday, so the day for April 1, 2018, is Sunday. The video then transitions to a new question about the day of the week for June 19, 1970, and begins the calculation. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card showing a calendar and the word 'CALENDAR'. It then transitions to a lecture screen. The instructor, Yash Jain Sir, introduces a question: 'On what dates of April 2018 did Wednesday fall?' The options are provided. The instructor states this is an important question from TCS 2019. He then introduces the 'Bramhasthra Formula' as the method to solve it, writing the formula on the screen: [Year + Leap Year + Date + Month Code + Year Code] / 7. The background is a blackboard with educational doodles.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins to explain the components of the Bramhasthra Formula. He writes '01 April 2018' on the board. He explains that the 'Year' is 18 (from 2018), the 'Date' is 1, and the 'Leap Year' adjustment is 4 (since 2018 is not a leap year, but the adjustment is based on the number of leap years from 1600 to 2018). He then introduces the 'Month Code' for April, which is 6. He also shows a table for the 'Year Code' for different centuries, indicating that 2000-2099 has a code of 6. He begins to sum the values: 18 + 4 + 1 + 6 + 6.

  3. 5:00 – 10:00 05:00-10:00

    The instructor completes the calculation for April 1, 2018. He sums the values: 18 (Year) + 4 (Leap Year) + 1 (Date) + 6 (Month Code) + 6 (Year Code) = 35. He divides 35 by 7, which equals 5 with a remainder of 0. He then refers to a 'Day Code' table, which shows that a remainder of 0 or 7 corresponds to Sunday. He concludes that April 1, 2018, was a Sunday. He then begins to solve the next question, 'Which day lied on 19th June 1970?', by writing the formula: [70 + 17 + 19 + 4 + 0] / 7. He explains that the year is 70, the leap year adjustment is 17 (number of leap years from 1600 to 1970), the date is 19, the month code for June is 4, and the year code for 1900-1999 is 0.

  4. 10:00 – 10:09 10:00-10:09

    The video transitions to a final screen with a blue, abstract, digital background. The text 'THANKS FOR WATCHING' is displayed in large, white, capital letters. This is the end of the lecture.

The video provides a step-by-step tutorial on the Bramhasthra Formula for calculating the day of the week. It begins with a real-world problem from a past exam, then systematically introduces the formula and its components: Year, Leap Year adjustment, Date, Month Code, and Year Code. The instructor uses a combination of on-screen text, tables, and handwritten calculations to demonstrate the method. The core of the lesson is the application of the formula, where the sum of the components is divided by 7, and the remainder is used to identify the day of the week from a predefined code table. The video effectively uses a practical example to teach a complex calculation method, making it accessible for students preparing for competitive exams.

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